Problem Solving Multiple Choice Topic Test

Pentransum 

Problem Solving Multiple Choice Topic Test

Test your understanding of problem solving with this ten question, self-marking multiple choice exercise.

Shape (3D) Algebra Angles Arithmetic
Averages Decimals Fractions Mensuration Money Number
Percentages Probability Problem Solving Ratio Sequences Shape
Time Indices Negatives Geometry Other Topics Pentransum

Here are 10 Problem Solving multiple choice questions written by people from around the world while using the main Pentransum activity. You can earn a Transum Trophy for answering at least 9 of them correctly.

1. I thought of a number, divided it by 6, added 52, doubled it and subtracted five. I ended up with 111. What number did I start with?

Correct Wrong

This question was suggested by Terry, Yorkshire

2. A snail climbs up a 12m wall. It climbs 3m each day, but slips back 2m each night. On what day will it reach the top of the wall?

Correct Wrong

This question was suggested by Gillian, New Zealand

3. I'm thinking of a number: I add 6, divide by 4 and then times it by 5 and my answer is 35, what was my original number?

Correct Wrong

This question was suggested by Rebecca and Michelle, Leeds

4. If Dan and Don share $48 in the ratio 5:1 how much more than Don will Dan receive?

Correct Wrong

5. A frog is in a well 12m deep. Every time the frog jumps 2m, it falls down 1 m. how many leaps does the frog have to make to reach to the surface?

Correct Wrong

This question was suggested by Yash, United Arab Emirates

6. If Bob has 44p and Bill has 22p how much does Bob have to give Bill so they have the same amount of money?

Correct Wrong

This question was suggested by Sophie Brown, Newcastle

7. If goldilocks and the three little pigs sat down at a table, how many legs would there be?

Correct Wrong

This question was suggested by Flossie Roberts, Portland, Dorset

8. The perimeter of a rectangle is 28.6cm. One side of the rectangle is 5.1cm. What is the size of the longer side of the rectangle?

Correct Wrong

This question was suggested by Hockey Puck, Birmingham

9. Milly likes her coffee made with water and milk in the ratio 4:5. During a week Milly will drink a total of four and a half litres of coffee. How much more milk than water is in the coffee she drinks.

Correct Wrong

10. Two apples and three bananas cost £1.70, and the price of a banana is 75% of the price of an apple. What is the price of an apple?

Correct Wrong

This question was suggested by Beth, North Berwick, Scotland, UK

Please note that unlike other Transum online exercises, the check button for this multiple choice quiz can only be clicked once when you have answered all ten questions. Check your answers carefully before clicking the button below. You teed to get at least 9 questions correct to be awarded a Transum Trophy.

Check

Other Problem Solving Activities

Instructions

Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. You can also claim a 'Transum Trophy' by completing this quiz.

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Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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Hi-Low Predict

A version of the Play Your Cards Right TV programme. Calculate the probabilities of cards being higher or lower than the one shown. a fun way to practise applying probability and using fractions.

Answers

There are answers to this exercise but they are only available to teachers who have subscribed to Transum and are currently signed in on this computer.

A Transum subscription unlocks the answers to most of the student online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum topic pages so that teachers can easily find the excellent resources we have found and add to the collection themselves.

Class lists, lesson plans and assessment data can also be stored in the Class Admin application and the teacher also has access to the Transum Trophies earned by class members.

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. Click here for more activities designed for students in upper Secondary/High school.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.